How Far Apart Will the Teddy Bears Land on the Ground?

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Homework Help Overview

The problem involves a scenario at a county fair where three boys drop their teddy bears from a Ferris wheel. The Ferris wheel has specific dimensions and speed, and the boys are positioned at angles relative to each other. The objective is to determine the distance between the teddy bears when they land on the ground.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the initial velocities of the bears based on the boys' movements and their relative positions. Questions are raised about the kinematic equations that could be applied to analyze the trajectories of the bears after being dropped.

Discussion Status

Some participants are seeking clarification on the initial conditions and velocities at the moment of release. There is an emphasis on the need for the original poster to provide their attempt at the problem to facilitate further assistance.

Contextual Notes

Participants note the importance of using correct formatting and adhering to forum guidelines when presenting attempts at the problem.

perfectlovehe
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At a county fair, a boy and two friends bring their teddy bears on the giant Ferris wheel. The wheel has a diameter of 14.0 m, the bottom of the wheel is 1.9 m above the ground and its rim is moving at a speed of 1.0 m/s. The boys are seated in positions 45° from each other. When the wheel brings the second boy to the maximum height, they all drop their stuffed animals. How far apart will the three teddy bears land? (Assume that the boy on his way down drops bear 1, and the boy on his way up drops bear 3.)
distance between bears 1 and 2:
distance between bears 2 and 3:
 
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Please use the correct formatting and show your attempt at this question as per PF guidelines.

Jared
 
You know the speed that the boys are moving (and thus the initial velocity of the bears) as well as their relative positions (which will give you the initial velocity vectors). You should be able to use the kinematic equations to solve for the trajectories of the bears once released and thus find how far apart they land.

What are the velocities of each of the boys and the moment they drop the bears?
What equations can you use to find the distance traveled?
 
Still going to need that attempt before I can help you.

Jared
 

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